2025
On feedback stabilisation for the Cahn-Hilliard equation and its numerical approximation.
CoRR, April, 2025
Numerical Realization of the Mortensen Observer via a Hessian-Augmented Polynomial Approximation of the Value Function.
SIAM J. Sci. Comput., 2025
2024
Policy iteration for Hamilton-Jacobi-Bellman equations with control constraints.
Comput. Optim. Appl., April, 2024
Analysis of RHC for Stabilization of Nonautonomous Parabolic Equations Under Uncertainty.
SIAM J. Control. Optim., February, 2024
Quasi-Monte Carlo integration for feedback control under uncertainty.
CoRR, 2024
2023
Saturated Feedback Stabilizability to Trajectories for the Schlögl Parabolic Equation.
IEEE Trans. Autom. Control., December, 2023
Optimal polynomial feedback laws for finite horizon control problems.
Comput. Math. Appl., October, 2023
Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part II: Analysis of the Control Problem.
SIAM J. Control. Optim., June, 2023
Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part I: Analysis of the Controlled State Equation.
SIAM J. Control. Optim., June, 2023
Improving the Convergence Rates for the Kinetic Fokker-Planck Equation by Optimal Control.
SIAM J. Control. Optim., June, 2023
Learning Optimal Feedback Operators and their Sparse Polynomial Approximations.
J. Mach. Learn. Res., 2023
Latent-Space Disentanglement with Untrained Generator Networks for the Isolation of Different Motion Types in Video Data.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023
2022
Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations.
SIAM J. Control. Optim., 2022
Total Deep Variation: A Stable Regularization Method for Inverse Problems.
IEEE Trans. Pattern Anal. Mach. Intell., 2022
Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation.
Numerische Mathematik, 2022
Shape Derivative for Penalty-Constrained Nonsmooth-Nonconvex Optimization: Cohesive Crack Problem.
J. Optim. Theory Appl., 2022
Nonlinear motion separation via untrained generator networks with disentangled latent space variables and applications to cardiac MRI.
CoRR, 2022
Boundary Control of Semilinear Parabolic Equations with Non-Smooth Point-wise-Integral Control Constraints in Time-Space<sup>*</sup>.
Proceedings of the American Control Conference, 2022
2021
Tensor Decomposition Methods for High-dimensional Hamilton-Jacobi-Bellman Equations.
SIAM J. Sci. Comput., 2021
Optimal Control of the Two-Dimensional Evolutionary Navier-Stokes Equations with Measure Valued Controls.
SIAM J. Control. Optim., 2021
Neural network based nonlinear observers.
Syst. Control. Lett., 2021
Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression.
J. Mach. Learn. Res., 2021
2020
Robust Feedback Control of Nonlinear PDEs by Numerical Approximation of High-Dimensional Hamilton-Jacobi-Isaacs Equations.
SIAM J. Appl. Dyn. Syst., 2020
Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces.
J. Optim. Theory Appl., 2020
Variational Networks: An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration.
J. Math. Imaging Vis., 2020
Total Deep Variation: A Stable Regularizer for Inverse Problems.
CoRR, 2020
Total Deep Variation for Linear Inverse Problems.
Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020
2019
Optimal Control of the Two-Dimensional Stationary Navier-Stokes Equations with Measure Valued Controls.
SIAM J. Control. Optim., 2019
A Hybrid Finite-Dimensional RHC for Stabilization of Time-Varying Parabolic Equations.
SIAM J. Control. Optim., 2019
On a Monotone Scheme for Nonconvex Nonsmooth Optimization with Applications to Fracture Mechanics.
J. Optim. Theory Appl., 2019
A Tensor Decomposition Approach for High-Dimensional Hamilton-Jacobi-Bellman Equations.
CoRR, 2019
An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration.
CoRR, 2019
On monotone and primal-dual active set schemes for ℓ<sup>p</sup>-type problems, p ∈ (0, 1].
Comput. Optim. Appl., 2019
2018
Magnetic Resonance RF Pulse Design by Optimal Control With Physical Constraints.
IEEE Trans. Medical Imaging, 2018
Polynomial Approximation of High-Dimensional Hamilton-Jacobi-Bellman Equations and Applications to Feedback Control of Semilinear Parabolic PDEs.
SIAM J. Sci. Comput., 2018
Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws.
SIAM J. Control. Optim., 2018
Optimal Control of Elliptic Variational-Hemivariational Inequalities.
J. Optim. Theory Appl., 2018
Sparse and Switching Infinite Horizon Optimal Control with Nonconvex Penalizations.
CoRR, 2018
2017
Optimal Control of Semilinear Parabolic Equations by BV-Functions.
SIAM J. Control. Optim., 2017
Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations.
SIAM J. Control. Optim., 2017
Feedback Stabilization to Nonstationary Solutions of a Class of Reaction Diffusion Equations of FitzHugh-Nagumo Type.
SIAM J. Control. Optim., 2017
Nonconvex penalization of switching control of partial differential equations.
Syst. Control. Lett., 2017
Infinite Horizon Sparse Optimal Control.
J. Optim. Theory Appl., 2017
Primal-dual active set strategy for large scale optimization of cardiac defibrillation.
Appl. Math. Comput., 2017
2016
Local Minimization Algorithms for Dynamic Programming Equations.
SIAM J. Sci. Comput., 2016
A Sequential Method for a Class of Stable Mathematical Programming Problems.
SIAM J. Optim., 2016
Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls.
SIAM J. Control. Optim., 2016
On the Stabilizability of the Burgers Equation by Receding Horizon Control.
SIAM J. Control. Optim., 2016
A convex penalty for switching control of partial differential equations.
Syst. Control. Lett., 2016
Robust ℓ<sub>1</sub> Approaches to Computing the Geometric Median and Principal and Independent Components.
J. Math. Imaging Vis., 2016
2015
Feedback stabilization of the Schlögl model by LQG-balanced truncation.
Proceedings of the 14th European Control Conference, 2015
2014
On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction.
SIAM J. Imaging Sci., 2014
Measure Valued Directional Sparsity for Parabolic Optimal Control Problems.
SIAM J. Control. Optim., 2014
High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging.
SIAM J. Control. Optim., 2014
Optimal Control with L<sup>p(Ω)</sup>, $p\in [0, 1)$, Control Cost.
SIAM J. Control. Optim., 2014
Optimal Control of Semilinear Elliptic Equations in Measure Spaces.
SIAM J. Control. Optim., 2014
Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh-Nagumo Model.
SIAM J. Control. Optim., 2014
Lossy Compression in Optimal Control of Cardiac Defibrillation.
J. Sci. Comput., 2014
On Computation of the Shape Hessian of the Cost Functional Without Shape Sensitivity of the State Variable.
J. Optim. Theory Appl., 2014
A Note on the Existence of Nonsmooth Nonconvex Optimization Problems.
J. Optim. Theory Appl., 2014
Boundary control of bidomain equations with state-dependent switching source functions in the ionic model.
J. Comput. Phys., 2014
A minimum effort optimal control problem for the wave equation.
Comput. Optim. Appl., 2014
2013
A Bilevel Optimization Approach for Parameter Learning in Variational Models.
SIAM J. Imaging Sci., 2013
On Time Optimal Control of the Wave Equation and Its Numerical Realization as Parametric Optimization Problem.
SIAM J. Control. Optim., 2013
Parabolic Control Problems in Measure Spaces with Sparse Solutions.
SIAM J. Control. Optim., 2013
Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls.
Math. Program., 2013
Primal-dual methods for the computation of trading regions under proportional transaction costs.
Math. Methods Oper. Res., 2013
Vortex control of instationary channel flows using translation invariant cost functionals.
Comput. Optim. Appl., 2013
2012
Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions.
SIAM J. Control. Optim., 2012
Path-following for optimal control of stationary variational inequalities.
Comput. Optim. Appl., 2012
Vortex control in channel flows using translational invariant cost functionals.
Comput. Optim. Appl., 2012
A measure space approach to optimal source placement.
Comput. Optim. Appl., 2012
On free surface PDE constrained shape optimization problems.
Appl. Math. Comput., 2012
2011
Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution.
SIAM J. Optim., 2011
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints.
SIAM J. Control. Optim., 2011
Karush-Kuhn-Tucker Conditions for Nonsmooth Mathematical Programming Problems in Function Spaces.
SIAM J. Control. Optim., 2011
Minimal Effort Problems and Their Treatment by Semismooth Newton Methods.
SIAM J. Control. Optim., 2011
A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology.
Comput. Vis. Sci., 2011
Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology.
Comput. Optim. Appl., 2011
2010
A Duality-Based Splitting Method for l<sup>1</sup>-TV Image Restoration with Automatic Regularization Parameter Choice.
SIAM J. Sci. Comput., 2010
Approximate Nullspace Iterations for KKT Systems.
SIAM J. Matrix Anal. Appl., 2010
A Semismooth Newton Method for L<sup>1</sup> Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration.
SIAM J. Imaging Sci., 2010
Total Generalized Variation.
SIAM J. Imaging Sci., 2010
Optimal Control for an Elliptic System with Polygonal State Constraints.
SIAM J. Control. Optim., 2010
Semismooth Newton Methods for Time-Optimal Control for a Class of ODEs.
SIAM J. Control. Optim., 2010
2009
PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State, and Its Derivative.
SIAM J. Optim., 2009
Asymptotic Properties of Feedback Solutions for a Class of Quantum Control Problems.
SIAM J. Control. Optim., 2009
On a semi-smooth Newton method and its globalization.
Math. Program., 2009
2008
Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems.
SIAM J. Numer. Anal., 2008
Lagrange multiplier approach to variational problems and applications.
Advances in design and control, SIAM, ISBN: 978-0-89871-649-8, 2008
2007
Constrained Dirichlet Boundary Control in L<sup>2</sup> for a Class of Evolution Equations.
SIAM J. Control. Optim., 2007
Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals.
SIAM J. Control. Optim., 2007
Optimal Bilinear Control of an Abstract Schrödinger Equation.
SIAM J. Control. Optim., 2007
Convergence of the Primal-Dual Active Set Strategy for Diagonally Dominant Systems.
SIAM J. Control. Optim., 2007
2006
Path-following Methods for a Class of Constrained Minimization Problems in Function Space.
SIAM J. Optim., 2006
Receding Horizon Control with Incomplete Observations.
SIAM J. Control. Optim., 2006
Feasible and Noninterior Path-Following in Constrained Minimization with Low Multiplier Regularity.
SIAM J. Control. Optim., 2006
Optimal Control for a Stationary MHD System in Velocity-Current Formulation.
SIAM J. Control. Optim., 2006
A globalization strategy for the multigrid solution of elliptic optimal control problems.
Optim. Methods Softw., 2006
A Semi-smooth Newton Method for Regularized State-constrained Optimal Control of the Navier-Stokes Equations.
Computing, 2006
Trading Regions Under Proportional Transaction Costs.
Proceedings of the Operations Research, 2006
2005
Denoising of Smooth Images Using <i>L</i><sup>1</sup>-Fitting.
Computing, 2005
A Multigrid Scheme for Elliptic Constrained Optimal Control Problems.
Comput. Optim. Appl., 2005
2004
The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints.
SIAM J. Control. Optim., 2004
Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem.
SIAM J. Appl. Math., 2004
HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems.
SIAM J. Appl. Dyn. Syst., 2004
2003
Optimal Control Formulation for Determining Optical Flow.
SIAM J. Sci. Comput., 2003
An Infeasible Active Set Method for Quadratic Problems with Simple Bounds.
SIAM J. Optim., 2003
Semi-smooth Newton methods for state-constrained optimal control problems.
Syst. Control. Lett., 2003
On the structure of Lagrange multipliers for state-constrained optimal control problems.
Syst. Control. Lett., 2003
Tube Methods for BV Regularization.
J. Math. Imaging Vis., 2003
Shape Optimization and Fictitious Domain Approach for Solving Free Boundary Problems of Bernoulli Type.
Comput. Optim. Appl., 2003
2002
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics.
SIAM J. Numer. Anal., 2002
Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems.
SIAM J. Optim., 2002
The Primal-Dual Active Set Strategy as a Semismooth Newton Method.
SIAM J. Optim., 2002
Asymptotic Properties of Receding Horizon Optimal Control Problems.
SIAM J. Control. Optim., 2002
Optimal Control of the Solid Fuel Ignition Model with H[sup 1]-Cost.
SIAM J. Control. Optim., 2002
Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System.
SIAM J. Control. Optim., 2002
Primal-Dual Strategy for State-Constrained Optimal Control Problems.
Comput. Optim. Appl., 2002
2001
Second Order Methods for Optimal Control of Time-Dependent Fluid Flow.
SIAM J. Control. Optim., 2001
Galerkin proper orthogonal decomposition methods for parabolic problems.
Numerische Mathematik, 2001
Numerical Gradients for Shape Optimization Based on Embedding Domain Techniques.
Comput. Optim. Appl., 2001
2000
The Numerical Solution of the Steady State Solid Fuel Ignition Model and Its Optimal Control.
SIAM J. Sci. Comput., 2000
Newton's Method for a Class of Weakly Singular Optimal Control Problems.
SIAM J. Optim., 2000
A Comparison of a Moreau-Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems.
SIAM J. Optim., 2000
1996
Augmented Lagrangian-SQP-Methods in Hilbert Spaces and Application to Control in the Coefficients Problems.
SIAM J. Optim., 1996
On Weakly Nonlinear Inverse Problems.
SIAM J. Appl. Math., 1996
1993
On a class of damped Morozov principles.
Computing, 1993
1992
On the Choice of the Regularization Parameter in Nonlinear Inverse Problems.
SIAM J. Optim., 1992
1991
A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems.
SIAM J. Sci. Comput., 1991
1990
The Augmented Lagrangian Method for Equality and Inequality Constraints in Hilbert Spaces.
Math. Program., 1990
1988
A review of some recent results on the output least squares formulation of parameter estimation problems.
Autom., 1988